Answer: B.  |x-100| = 25
Explanation:
Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.
The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.
 
        
             
        
        
        
Answer:
you will have 71 tulips in each garden and 60 roses in each or 131 flowers together
Step-by-step explanation:
 
        
             
        
        
        
Answer:
7a  3  −7a+1
Step-by-step explanation: I hope this help.
STEP
1
:
Equation at the end of step 1
  ((7a3 -  2a) -  2) +  (3 - 5a)
STEP
2
:
Polynomial Roots Calculator :
 2.1    Find roots (zeroes) of :       F(a) = 7a3-7a+1
Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient
In this case, the Leading Coefficient is  7  and the Trailing Constant is  1.
 The factor(s) are:
of the Leading Coefficient :  1,7
 of the Trailing Constant :  1
 Let us test ....
  	P    Q    P/Q    F(P/Q)    	Divisor
      -1       1        -1.00        1.00      
      -1       7        -0.14        1.98      
      1       1        1.00        1.00      
      1       7        0.14        0.02      
Polynomial Roots Calculator found no rational roots
Final result :
  7a3 - 7a + 1
 
        
                    
             
        
        
        
Circumference: 2πr C=18 so r= 18/2π= 9π
Arc length = rθ 6=(9π)θ	θ=6/9π 
Convert to degrees by multiplying by 180/π 
 
6/9π x 180/π = 120 degrees
        
             
        
        
        
Answer:
The equation of line with given slope that include given points is                 3 y + x - 20 = 0
Step-by-step explanation:
According to Cora , if we know the slope and points on a line then we can write the equation of a line . 
Since , The equation of line in slope-intercept form is 
y = m x + c
<u>Where m is the slope of line , and if we know the points ( x , y ) which satisfy the line then constant term c can be get and the equation of line can be formed .</u>
So , From the statement said above it is clear that she is correct .
Now , Again 
Given as :
Slope of a line is m = - 
That include points ( 2 , 6 )
Now from the equation of line as  y = m x + c
∴   6 =  -  ( 2 ) + c
 ( 2 ) + c
Or, 6 =  -  + c
  + c
So , c = 6 +  
 
or,  c =  
 
∴   c =  
 
So, The equation of line can be written as 
  y =   -  x +
 x +  
 
Or, 3 y = - x + 20
I.e  3 y + x - 20 = 0
Hence The equation of line with given slope that include given points is     3 y + x - 20 = 0   Answer